When I made the sweet bunny cookie lollies, I made sure to take some photos of the working process so that I could put together a tutorial on how to make the bunny cookie lolly. They can be made in other colors than brown and I think that they would work just as good for a bunny themed baby shower, beside being a sweet Easter treat.
The whiskers on the bunny is optional, so you can make them without if you like. But if you do give the bunny whiskers, then make sure that you inform the receivers to remove the whiskers (flower stamens) before they eat the bunny cookie lolly.

This is what I use:
Cookie lollies, baked in the shape as a bunny (I have used the nesting bunny cookie cutter set from Wilton)
White rolled fondant
Gel paste colors: pink and brown
Royal icing in soft consistency
Piping bag with a plastic coupler
Piping tip round or a grass/fur
Corn syrup
Paint brush
Rolling pin
Cornstarch duster
Veining tool (Jem)
Fine Comb and Scallop (½ Moon) tool (No.4 from PME)

Optional (not showing on the photo):
White petal food powder + a little clear alcohol (or lemon extract)
Fine small paint brush
White flower stamens

Step 1:
Take some white rolled fondant and roll a little ball. Flatten it slightly and glue it on the cookie with a little corn syrup.

Step 2:
Make an indentation down the middle with the veining tool. Make sure that you dont go all the way down.

Step 3.
Take the scallop tool (1/2 moon) and make the rest of the bunny’s mouth.

Step 4:
Then color a small amount of the white rolled fondant pink with the gel paste color. Roll it out thinly and cut two strips of pink rolled fondant for the center of the ears with the knife. Glue them on with a little corn syrup.

Step 5:
Roll a small ball of pink fondant for the nose. Glue it on with corn syrup and flatten the nose a bit.

Step 6:
Start by coloring a small amount of the white rolled fondant brown with the gel paste color and make a pair of eyes and se aside (they can also be made in black if you like that better) Color your royal icing brown with the gel paste color and make sure that it have a soft consistency. Take the piping bag with the plastic coupler and fill it with the brown royal icing. Then use either a grass/fur tip and start piping the fur.

Step 7:
When you are done with the fur the place the eyes in the wet royal icing and leave the cookie to dry.

Step 8:
If you like you can paint a little “white sparkle” in the eyes. Mix a little white petal food powder with a few drops of clear alcohol (or lemon extract) and use a small fine paint brush to paint with.

Step 9:
The bunny cookie lolly is now finished, but if you want to add a few “whiskers” just insert a pair of white flower stamens under the nose (see top photo). Style the cookie with a pretty ribbon.

Happy Caking!